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We consider the singular behaviour of tree-level QCD amplitudes when the momenta of three partons become simultaneously parallel. We discuss the universal factorization formula that controls the singularities of the multiparton matrix…

High Energy Physics - Phenomenology · Physics 2009-10-31 S. Catani , M. Grazzini

We present an analytical calculation of the two-loop QCD corrections to the electromagnetic form factor of heavy quarks. The two-loop contributions to the form factor are reduced to linear combinations of master integrals, which are…

High Energy Physics - Phenomenology · Physics 2009-07-29 J. Gluza , A. Mitov , S. Moch , T. Riemann

We continue our studies of possible generalization of the Color Glass Condensate (CGC) effective theory of high energy QCD to include the high $p_t$ (or equivalently large $x$) QCD dynamics as proposed in [JJM-elastic]. Here we consider…

High Energy Physics - Phenomenology · Physics 2019-02-06 Jamal Jalilian-Marian

We introduce a new representation of generalized parton distributions and generalized distribution amplitudes that is based on the partial wave decomposition with respect to the complex collinear conformal spin. This decomposition leads us…

High Energy Physics - Phenomenology · Physics 2008-11-26 D. Müller , A. Schäfer

The QCD one-loop renormalization is restudied in a mass-dependent subtraction scheme in which the quark mass is not set to vanish and the renormalization point is chosen to be an arbitrary timelike momentum. The correctness of the…

High Energy Physics - Theory · Physics 2007-05-23 Jun-Chen Su , Lian-You Shan , Ying-Hui Cao

In this note we discuss possible separations of exact, massive, tree-level spin amplitudes into gauge invariant parts. We concentrate our attention on processes involving two quarks entering a color- neutral current and, thanks to the QCD…

High Energy Physics - Phenomenology · Physics 2009-07-22 A. van Hameren , Z. Was

The Cachazo-He-Yuan (CHY) formula for $n$-gluon scattering is known to give the same amplitude as the one obtained from Feynman diagrams, though the former contains neither vertices nor propagators explicitly. The equivalence was shown by…

High Energy Physics - Theory · Physics 2016-05-18 C. S. Lam , York-Peng Yao

Lattice formulations of QCD with Wilson fermions and a chirally twisted quark mass matrix provide an attractive framework for non-perturbative numerical studies. Owing to reparameterization invariance, the limiting continuum theory is just…

High Energy Physics - Lattice · Physics 2009-11-07 R. Frezzotti

We argue that generic one-loop scattering amplitudes in supersymmetric Yang-Mills theories can be computed equivalently with MHV diagrams or with Feynman diagrams. We first present a general proof of the covariance of one-loop non-MHV…

High Energy Physics - Theory · Physics 2009-11-11 Andreas Brandhuber , Bill Spence , Gabriele Travaglini

Motivated by the limited interaction between the mathematical physics community and theoretical physicists - particularly in high-energy theory - we present a computation that is typically the first example in QFT courses but, to our…

High Energy Physics - Theory · Physics 2025-09-26 H. A. C. Grande , J. C. A Barata

We calculate the coefficients in the chiral Lagrangian approximately from QCD based on a previous study of deriving the chiral Lagrangian from the first principles of QCD in which the chiral Lagrangian coefficients are defined in terms of…

High Energy Physics - Phenomenology · Physics 2009-11-07 Hua Yang , Qing Wang , Yu-Ping Kuang , Qin Lu

A remarkable connection between BCFW recursion relations and constraints on the S-matrix was made by Benincasa and Cachazo in 0705.4305, who noted that mutual consistency of different BCFW constructions of four-particle amplitudes generates…

High Energy Physics - Theory · Physics 2011-08-04 Philip Schuster , Natalia Toro

Any loop QCD amplitude at full colour is constructed from kinematic and gauge-group building blocks. In a unitarity-based on-shell framework, both objects can be reconstructed from their respective counterparts in tree-level amplitudes.…

High Energy Physics - Phenomenology · Physics 2019-10-15 Alexander Ochirov , Ben Page

Using an exact integrodifferential equation we study the properties of the gauge invariant quark Green's function, defined with a path-ordered gluon field phase factor along a straight line, in two-dimensional QCD in the large-N_c limit.…

High Energy Physics - Phenomenology · Physics 2011-02-11 H. Sazdjian

We present a QCD based interpretation of heavy quark fragmentation which utilizes the heavy quark mass expansion. By distinguishing between perturbative and non-perturbative QCD effects, we show how to reliably extract mass independent…

High Energy Physics - Phenomenology · Physics 2009-09-15 R. L. Jaffe , L. Randall

We introduce a way to compute scattering amplitudes in quantum field theory including the effects of particle production and detection. Our amplitudes are manifestly causal, by which we mean that the source and detector are always linked by…

High Energy Physics - Theory · Physics 2014-06-17 Robert Dickinson , Jeff Forshaw , Peter Millington , Brian Cox

We derive a new factorization formula in perturbative quantum chromodynamics for the Drell-Yan massive lepton-pair cross section as a function of the transverse momentum $Q_T$ of the pair. When $Q_T$ is much larger than the pair's invariant…

High Energy Physics - Phenomenology · Physics 2009-11-07 Edmond L. Berger , Jianwei Qiu , Xiaofei Zhang

Making use of the Stochastic Vacuum Model and the gluon gauge-invariant two-point correlation function, determined by numerical simulation on the lattice in both quenched approximation and full QCD, we calculate the elementary (quark-quark)…

High Energy Physics - Phenomenology · Physics 2009-11-10 A. F. Martini , M. J. Menon

A method is explained through which a pointwise accurate approximation to the pion's valence-quark distribution amplitude (PDA) may be obtained from a limited number of moments. In connection with the single nontrivial moment accessible in…

Nuclear Theory · Physics 2015-06-16 I. C. Cloët , L. Chang , C. D. Roberts , S. M. Schmidt , P. C. Tandy

We enumerate factorizations of a Coxeter element in a well generated complex reflection group into arbitrary factors, keeping track of the fixed space dimension of each factor. In the infinite families of generalized permutations, our…

Combinatorics · Mathematics 2024-02-07 Joel Brewster Lewis , Alejandro H. Morales